Browsing by Subject "Incomplete markets"
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Item Essays on fiscal and monetary policy in open economies(2013-05) Kabukcuoglu, Ayse Zeyneti; Glover, Andrew (Assistant professor of economics; Coibion, Olivier; Kehrig, Matthias; Martinez-Garcia, Enrique; Rothert, JacekIn the first chapter, I quantify the welfare effect of eliminating the U.S. capital income tax under international financial integration. I employ a two-country, heterogeneous-agent incomplete markets model calibrated to represent the U.S. and the rest of the world. Short-run and long-run factor price dynamics are key: after the tax reform, post-tax interest rate increases less under financial openness relative to autarky. Therefore the wealth-rich households gain less. Post-tax wages also fall less, so the wealth-poor are hurt less. Hence, the fraction in favor of the reform increases, although the majority still prefers the status quo. Aggregate welfare effect to the U.S. is a permanent 0.2 % consumption equivalent loss under financial openness which is 85.5 % smaller than the welfare loss under autarky. The second chapter aims to answer two questions: What helps forecast U.S. inflation? What causes the observed changes in the predictive ability of variables commonly used in forecasting US inflation? In macroeconomic analysis and inflation forecasting, the traditional Phillips curve has been widely used to exploit the empirical relationship between inflation and domestic economic activity. Atkeson and Ohanian (2001), among others, cast doubt on the performance of Phillips curve-based forecasts of U.S. inflation relative to naive forecasts. This indicates a difficulty for policy-making and private sectorâs long term nominal commitments which depend on inflation expectations. The literature suggests globalization may be one reason for this phenomenon. To test this, we evaluate the forecasting ability of global slack measures under an open economy Phillips curve. The results are very sensitive to measures of inflation, forecast horizons and estimation samples. We find however, terms of trade gap, measured as HP-filtered terms of trade, is a good and robust variable to forecast U.S. inflation. Moreover, our forecasts based on the simulated data from a workhorse new open economy macro (NOEM) model indicate that better monetary policy and good luck (i.e. a remarkably benign sample of economic shocks) can account for the empirical observations on forecasting accuracy, while globalization plays a secondary role.Item Three essays on valuation and investment in incomplete markets(2011-05) Ringer, Nathanael David; Zariphopoulou, Thaleia, 1962-; Arbogast, Todd; Gamba, Irene; Tompaidis, Stathis; Zitkovic, GordanIncomplete markets provide many challenges for both investment decisions and valuation problems. While both problems have received extensive attention in complete markets, there remain many open areas in the theory of incomplete markets. We present the results in three parts. In the first essay we consider the Merton investment problem of optimal portfolio choice when the traded instruments are the set of zero-coupon bonds. Working within a Markovian Heath-Jarrow-Morton framework of the interest rate term structure driven by an infinite dimensional Wiener process, we give sufficient conditions for the existence and uniqueness of an optimal investment strategy. When there is uniqueness, we provide a characterization of the optimal portfolio. Furthermore, we show that a specific Gauss-Markov random field model can be treated within this framework, and explicitly calculate the optimal portfolio. We show that the optimal portfolio in this case can be identified with the discontinuities of a certain function of the market parameters. In the second essay we price a claim, using the indifference valuation methodology, in the model presented in the first section. We appeal to the indifference pricing framework instead of the classic Black-Scholes method due to the natural incompleteness in such a market model. Because we price time-sensitive interest rate claims, the units in which we price are very important. This will require us to take care in formulating the investor’s utility function in terms of the units in which we express the wealth function. This leads to new results, namely a general change-of-numeraire theorem in incomplete markets via indifference pricing. Lastly, in the third essay, we propose a method to price credit derivatives, namely collateralized debt obligations (CDOs) using indifference. We develop a numerical algorithm for pricing such CDOs. The high illiquidity of the CDO market coupled with the allowance of default in the underlying traded assets creates a very incomplete market. We explain the market-observed prices of such credit derivatives via the risk aversion of investors. In addition to a general algorithm, several approximation schemes are proposed.Item Utility maximization with consumption habit formation in incomplete markets(2012-05) Yu, Xiang, 1984-; Sîrbu, Mihai; Arbogast, Todd; Bayraktar, Erhan; Tompaidis, Stathis; Zariphopoulou, Thaleia; Zitkovic, GordanThis dissertation studies a class of path-dependent stochastic control problems with applications to Finance. In particular, we solve the open problem of the continuous time expected utility maximization with addictive consumption habit formation in incomplete markets under two independent scenarios. In the first project, we study the continuous time utility optimization problem with consumption habit formation in general incomplete semimartingale financial markets. Introducing the set of auxiliary state processes and the modified dual space, we embed our original problem into an abstract time-separable utility maximization problem with a shadow random endowment on the product space. We establish existence and uniqueness of the optimal solution using convex duality by defining the primal value function as depending on two variables, i.e., the initial wealth and the initial standard of living. We also provide market independent sufficient conditions both on the stochastic discounting processes of the habit formation process and on the utility function for the well-posedness of our original optimization problem. Under the same assumptions, we can carefully modify the classical proofs in the approach of convex duality analysis when the auxiliary dual process is not necessarily integrable. In the second project, we examine an example of the optimal investment and consumption problem with both habit-formation and partial observations in incomplete markets driven by It\^{o} processes. The individual investor develops addictive consumption habits gradually while only observing the market stock prices but not the instantaneous rates of return, which follow an Ornstein-Uhlenbeck process. Applying the Kalman-Bucy filtering theorem and Dynamic Programming arguments, we solve the associated Hamilton-Jacobi-Bellman(HJB) equation fully explicitly for this path dependent stochastic control problem in the case of power utility preferences. We provide the optimal investment and consumption policy in explicit feedback form using rigorous verification arguments.